It is well-known that a set \(E\subset {\mathbb {R}}^n\)  is porous if and only if
\(\operatorname{dim_A}(E)<n\) , or equivalently \(\operatorname{{codim}_A}(E)>0\) ,
as was already pointed out in the introduction.
See e.g. [1]}
or [2]}
for details.
The following Muckenhoupt exponent
can be seen as a refinement of the Assouad codimension:
for porous sets these two agree
but the Muckenhoupt exponent can be nonzero also for nonporous sets;
see the comment after Definition REF .
